Stability analysis of a multi-machine power system under mixed stochastic excitation

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (24) : 185-193.

DUAN Changhong1,LI Sheng1,MA Sixiang2

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Abstract

Aimed at stochastic disturbance in electrical power system, a more accurate nonlinear stochastic model of power system was established by adding Poisson jump excitation to Gaussian random excitation. Using stochastic differential equations with jumps and nonlinear correlation theory, the mean and mean square stability of multi-generator power systems under Gaussian and Poisson mixed excitations was proved, and the relationships between mean, mean square bounds and jump excitation intensity, random excitation intensity and system parameters were obtained. It was shown that the system has mean stability and mean square stability under jump small excitation intensity and random small excitation intensity, as the excitation intensity increases, the upper bound of the mean and mean square of the system increases accordingly, and the system gradually becomes unstable. Finally, using Heun numerical algorithm to simulate the stability of 4 generator 11 bus system, the power angle response trajectories of multi- machine power systems with different jump excitation intensities under the same random excitation intensity and different random excitation intensities under the same jump excitation intensity were analyzed, and the correctness of this conclusion was verified by the simulation results and the system mean and mean square bounds.

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stochastic dynamics / random excitation / jump excitation / multi-machine power system

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DUAN Changhong1,LI Sheng1,MA Sixiang2. Stability analysis of a multi-machine power system under mixed stochastic excitation[J]. Journal of Vibration and Shock, 2023, 42(24): 185-193

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